Fri·Oct 28, 2022Friday·October 28, 2022

1. 01*

   Defining Canonical Momenta for Discretised SU(2) Gauge Fields

   Marco Garofalo🇩🇪 · Tobias Hartung🇬🇧 · Karl Jansen🇩🇪 · Johann Ostmeyer🇬🇧 · Simone Romiti🇩🇪 · Carsten Urbach

   In this proceeding contribution we discuss how to define canonical momenta for SU(N) lattice gauge theories in the Hamiltonian formalism in a basis where the gauge field operators are diagonal. For an explicit discretisation of SU(2) we construct the momenta and check the violation of the fundamental commutation relations.

   hep-latquant-phPoS(2023)·3 citations
2. 02*

   Dynamics of Confined Monopoles and Similarities with Confined Quarks

   Gia Dvali🇩🇪 · Juan Valbuena-Bermudez🇩🇪 · Michael Zantedeschi🇩🇪

   In this work, we study the annihilation of a pair of `t Hooft-Polyakov monopoles due to confinement by a string. We analyze the regime in which the scales of monopoles and strings are comparable. We compute the spectrum of the emitted gravitational waves and find it to agree with the previously calculated point-like case for wavelengths longer than the system width and before the collision. However, we observe that in a head-on collision, monopoles are never re-created. Correspondingly, not even once the string oscillates. Instead, the system decays into waves of Higgs and gauge fields. We explain this phenomenon by the loss of coherence in the annihilation process. Due to this, the entropy suppression makes the recreation of a monopole pair highly improbable. We argue that in a similar regime, analogous behaviour is expected for the heavy quarks connected by a QCD string. There too, instead of re-stretching a long string after the first collapse, the system hadronizes and decays in a high multiplicity of mesons and glueballs. We discuss the implications of our results.

   ↳ hep-thgr-qchep-lathep-phPRD(2023)·16 citations
3. 03*

   Meson content of entanglement spectra after integrable and nonintegrable quantum quenches

   Johannes Knaute🇮🇱

   We use tensor network simulations to calculate the time evolution of the lower part of the entanglement spectrum and return rate functions after global quantum quenches in the Ising model. We consider ground state quenches towards mesonic parameter ranges with confined fermion pairs as nonperturbative bound states in a semiclassical regime and the relativistic E${}_8$ theory. We find that in both cases only the dominant eigenvalue of the modular Hamiltonian fully encodes the meson content of the quantum many-body system or quantum field theory, giving rise to nearly identical entanglement oscillations in the entanglement entropy. When the initial state is prepared in the paramagnetic phase, the return rate density exhibits regular cusps at unequally spaced positions, signaling the appearance of dynamical quantum phase transitions, at which the entanglement spectrum remains gapped. Our analyses provide a deeper understanding on the role of quantum information quantities for the dynamics of emergent phenomena reminiscent of systems in high-energy physics.

   ↳ hep-thcond-mat.quant-gascond-mat.str-elhep-lat+1PRB(2023)·10 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.